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Finding the Fourth Proportional to 441.21, 661.82 and 116.60

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Solution

The fourth proportional to 441.21, 661.82 and 116.60 is: 174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.21 : 661.82 = 116.60 : x
  2. Step 2: Convert to fraction form
    441.21/661.82 = 116.60/x
  3. Step 3: Cross multiply
    441.21x = 661.82 × 116.60
  4. Step 4: Simplify right side
    441.21x = 77,164.32
  5. Step 5: Solve for x
    x = 77,164.32/441.21
  6. Step 6: Final answer
    x = 174.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.